%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HEnQ5vl7ey true
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:56 PM UTC 2026
% Result : Unsatisfiable 0.47s 0.79s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL433-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.HEnQ5vl7ey true
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 09:11:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Running portfolio for 300 s
% 0.10/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Number of cores: 8
% 0.14/0.38 % Python version: Python 3.12.3
% 0.14/0.38 % Running in FO mode
% 0.43/0.67 % Total configuration time : 435
% 0.43/0.67 % Estimated wc time : 1092
% 0.43/0.67 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.74 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.79 % Solved by fo/fo6_bce.sh.
% 0.47/0.79 % BCE start: 8
% 0.47/0.79 % BCE eliminated: 0
% 0.47/0.79 % PE start: 8
% 0.47/0.79 logic: neq
% 0.47/0.79 % PE eliminated: 0
% 0.47/0.79 % done 41 iterations in 0.034s
% 0.47/0.79 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.79 % SZS output start Refutation
% 0.47/0.79 thf(v_F_type, type, v_F: $i).
% 0.47/0.79 thf(c_PropLog_Othms_type, type, c_PropLog_Othms: $i > $i > $i).
% 0.47/0.79 thf(c_PropLog_Osat_type, type, c_PropLog_Osat: $i > $i > $i > $o).
% 0.47/0.79 thf(v_x_type, type, v_x: $i).
% 0.47/0.79 thf(tc_PropLog_Opl_type, type, tc_PropLog_Opl: $i > $i).
% 0.47/0.79 thf(t_a_type, type, t_a: $i).
% 0.47/0.79 thf(c_insert_type, type, c_insert: $i > $i > $i > $i).
% 0.47/0.79 thf(c_PropLog_Opl_Oop_A_N_62_type, type, c_PropLog_Opl_Oop_A_N_62: $i > $i >
% 0.47/0.79 $i > $i).
% 0.47/0.79 thf(v_xa_type, type, v_xa: $i).
% 0.47/0.79 thf(c_in_type, type, c_in: $i > $i > $i > $o).
% 0.47/0.79 thf(cls_PropLog_Osat__imp_0, axiom,
% 0.47/0.79 (( ~( c_PropLog_Osat @
% 0.47/0.79 ( c_insert @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) @ V_q @ T_a ) ) |
% 0.47/0.79 ( c_PropLog_Osat @
% 0.47/0.79 V_H @ ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @ T_a ))).
% 0.47/0.79 thf(zip_derived_cl3, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.79 (~ (c_PropLog_Osat @ (c_insert @ X0 @ X1 @ (tc_PropLog_Opl @ X2)) @
% 0.47/0.79 X3 @ X2)
% 0.47/0.79 | (c_PropLog_Osat @ X1 @
% 0.47/0.79 (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X2) @ X2))),
% 0.47/0.79 inference('cnf', [status(esa)], [cls_PropLog_Osat__imp_0])).
% 0.47/0.79 thf(cls_conjecture_4, conjecture,
% 0.47/0.79 (~( ( ~( c_PropLog_Osat @ v_F @ V_U @ t_a ) ) |
% 0.47/0.79 ( c_in @
% 0.47/0.79 V_U @ ( c_PropLog_Othms @ v_F @ t_a ) @ ( tc_PropLog_Opl @ t_a ) ) ))).
% 0.47/0.79 thf(zf_stmt_0, negated_conjecture,
% 0.47/0.79 (( ~( c_PropLog_Osat @ v_F @ V_U @ t_a ) ) |
% 0.47/0.79 ( c_in @ V_U @ ( c_PropLog_Othms @ v_F @ t_a ) @ ( tc_PropLog_Opl @ t_a ) )),
% 0.47/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_4])).
% 0.47/0.79 thf(zip_derived_cl2, plain,
% 0.47/0.79 (![X0 : $i]:
% 0.47/0.79 (~ (c_PropLog_Osat @ v_F @ X0 @ t_a)
% 0.47/0.79 | (c_in @ X0 @ (c_PropLog_Othms @ v_F @ t_a) @
% 0.47/0.79 (tc_PropLog_Opl @ t_a)))),
% 0.47/0.79 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.79 thf(cls_PropLog_Oweaken__left__insert_0, axiom,
% 0.47/0.79 (( ~( c_in @
% 0.47/0.79 V_p @ ( c_PropLog_Othms @ V_G @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.47/0.79 ( c_in @
% 0.47/0.79 V_p @
% 0.47/0.79 ( c_PropLog_Othms @
% 0.47/0.79 ( c_insert @ V_a @ V_G @ ( tc_PropLog_Opl @ T_a ) ) @ T_a ) @
% 0.47/0.79 ( tc_PropLog_Opl @ T_a ) ))).
% 0.47/0.79 thf(zip_derived_cl6, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.79 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.47/0.79 | (c_in @ X0 @
% 0.47/0.79 (c_PropLog_Othms @
% 0.47/0.79 (c_insert @ X3 @ X1 @ (tc_PropLog_Opl @ X2)) @ X2) @
% 0.47/0.79 (tc_PropLog_Opl @ X2)))),
% 0.47/0.79 inference('cnf', [status(esa)], [cls_PropLog_Oweaken__left__insert_0])).
% 0.47/0.79 thf(cls_Set_OinsertCI_1, axiom,
% 0.47/0.79 (c_in @ V_x @ ( c_insert @ V_x @ V_B @ T_a ) @ T_a)).
% 0.47/0.79 thf(zip_derived_cl7, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.79 (c_in @ X0 @ (c_insert @ X0 @ X1 @ X2) @ X2)),
% 0.47/0.79 inference('cnf', [status(esa)], [cls_Set_OinsertCI_1])).
% 0.47/0.79 thf(cls_PropLog_Othms_OH_0, axiom,
% 0.47/0.79 (( ~( c_in @ V_p @ V_H @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.47/0.79 ( c_in @ V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.47/0.79 thf(zip_derived_cl4, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.47/0.79 (~ (c_in @ X0 @ X1 @ (tc_PropLog_Opl @ X2))
% 0.47/0.79 | (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)))),
% 0.47/0.79 inference('cnf', [status(esa)], [cls_PropLog_Othms_OH_0])).
% 0.47/0.79 thf(cls_PropLog_Othms_OMP_0, axiom,
% 0.47/0.79 (( ~( c_in @
% 0.47/0.79 V_p @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.47/0.79 ( ~( c_in @
% 0.47/0.79 ( c_PropLog_Opl_Oop_A_N_62 @ V_p @ V_q @ T_a ) @
% 0.47/0.79 ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ) ) |
% 0.47/0.79 ( c_in @ V_q @ ( c_PropLog_Othms @ V_H @ T_a ) @ ( tc_PropLog_Opl @ T_a ) ))).
% 0.47/0.79 thf(zip_derived_cl5, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.79 (~ (c_in @ X0 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.47/0.79 | ~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X0 @ X3 @ X2) @
% 0.47/0.79 (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2))
% 0.47/0.79 | (c_in @ X3 @ (c_PropLog_Othms @ X1 @ X2) @ (tc_PropLog_Opl @ X2)))),
% 0.47/0.79 inference('cnf', [status(esa)], [cls_PropLog_Othms_OMP_0])).
% 0.47/0.79 thf(zip_derived_cl13, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.79 (~ (c_in @ X2 @ X1 @ (tc_PropLog_Opl @ X0))
% 0.47/0.79 | ~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X2 @ X3 @ X0) @
% 0.47/0.79 (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0))
% 0.47/0.79 | (c_in @ X3 @ (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0)))),
% 0.47/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
% 0.47/0.79 thf(zip_derived_cl23, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.79 (~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X2 @ X3 @ X0) @
% 0.47/0.79 (c_PropLog_Othms @ (c_insert @ X2 @ X1 @ (tc_PropLog_Opl @ X0)) @
% 0.47/0.79 X0) @
% 0.47/0.79 (tc_PropLog_Opl @ X0))
% 0.47/0.79 | (c_in @ X3 @
% 0.47/0.79 (c_PropLog_Othms @
% 0.47/0.79 (c_insert @ X2 @ X1 @ (tc_PropLog_Opl @ X0)) @ X0) @
% 0.47/0.79 (tc_PropLog_Opl @ X0)))),
% 0.47/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl13])).
% 0.47/0.79 thf(zip_derived_cl40, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.79 (~ (c_in @ (c_PropLog_Opl_Oop_A_N_62 @ X2 @ X3 @ X0) @
% 0.47/0.79 (c_PropLog_Othms @ X1 @ X0) @ (tc_PropLog_Opl @ X0))
% 0.47/0.79 | (c_in @ X3 @
% 0.47/0.79 (c_PropLog_Othms @
% 0.47/0.79 (c_insert @ X2 @ X1 @ (tc_PropLog_Opl @ X0)) @ X0) @
% 0.47/0.79 (tc_PropLog_Opl @ X0)))),
% 0.47/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl23])).
% 0.47/0.79 thf(zip_derived_cl48, plain,
% 0.47/0.79 (![X0 : $i, X1 : $i]:
% 0.47/0.79 (~ (c_PropLog_Osat @ v_F @
% 0.47/0.79 (c_PropLog_Opl_Oop_A_N_62 @ X1 @ X0 @ t_a) @ t_a)
% 0.47/0.79 | (c_in @ X0 @
% 0.47/0.79 (c_PropLog_Othms @
% 0.47/0.79 (c_insert @ X1 @ v_F @ (tc_PropLog_Opl @ t_a)) @ t_a) @
% 0.47/0.79 (tc_PropLog_Opl @ t_a)))),
% 0.47/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl40])).
% 0.47/0.79 thf(cls_conjecture_3, conjecture,
% 0.47/0.79 (c_in @
% 0.47/0.79 v_xa @
% 0.47/0.79 ( c_PropLog_Othms @
% 0.47/0.79 ( c_insert @ v_x @ v_F @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @
% 0.47/0.79 ( tc_PropLog_Opl @ t_a ))).
% 0.47/0.79 thf(zf_stmt_1, negated_conjecture,
% 0.47/0.79 (~( c_in @
% 0.47/0.79 v_xa @
% 0.47/0.79 ( c_PropLog_Othms @
% 0.47/0.79 ( c_insert @ v_x @ v_F @ ( tc_PropLog_Opl @ t_a ) ) @ t_a ) @
% 0.47/0.79 ( tc_PropLog_Opl @ t_a ) )),
% 0.47/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_3])).
% 0.47/0.79 thf(zip_derived_cl1, plain,
% 0.47/0.79 (~ (c_in @ v_xa @
% 0.47/0.79 (c_PropLog_Othms @ (c_insert @ v_x @ v_F @ (tc_PropLog_Opl @ t_a)) @
% 0.47/0.79 t_a) @
% 0.47/0.79 (tc_PropLog_Opl @ t_a))),
% 0.47/0.79 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.47/0.79 thf(zip_derived_cl61, plain,
% 0.47/0.79 (~ (c_PropLog_Osat @ v_F @
% 0.47/0.79 (c_PropLog_Opl_Oop_A_N_62 @ v_x @ v_xa @ t_a) @ t_a)),
% 0.47/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl1])).
% 0.47/0.79 thf(zip_derived_cl64, plain,
% 0.47/0.79 (~ (c_PropLog_Osat @ (c_insert @ v_x @ v_F @ (tc_PropLog_Opl @ t_a)) @
% 0.47/0.79 v_xa @ t_a)),
% 0.47/0.79 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl61])).
% 0.47/0.79 thf(cls_conjecture_2, conjecture,
% 0.47/0.79 (~( c_PropLog_Osat @
% 0.47/0.79 ( c_insert @ v_x @ v_F @ ( tc_PropLog_Opl @ t_a ) ) @ v_xa @ t_a ))).
% 0.47/0.79 thf(zf_stmt_2, negated_conjecture,
% 0.47/0.79 (c_PropLog_Osat @
% 0.47/0.79 ( c_insert @ v_x @ v_F @ ( tc_PropLog_Opl @ t_a ) ) @ v_xa @ t_a),
% 0.47/0.79 inference('cnf.neg', [status(esa)], [cls_conjecture_2])).
% 0.47/0.79 thf(zip_derived_cl0, plain,
% 0.47/0.79 ( (c_PropLog_Osat @ (c_insert @ v_x @ v_F @ (tc_PropLog_Opl @ t_a)) @
% 0.47/0.79 v_xa @ t_a)),
% 0.47/0.79 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.47/0.79 thf(zip_derived_cl65, plain, ($false),
% 0.47/0.79 inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl0])).
% 0.47/0.79
% 0.47/0.79 % SZS output end Refutation
% 0.47/0.79
% 0.47/0.79
% 0.47/0.80 % Terminating...
% 0.48/0.85 % Runner terminated.
% 0.48/0.87 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------